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Finding the Third Proportional to 102,950 and 156,639

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Solution

The third proportional to 102,950 and 156,639 is: 238,327.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,950 : 156,639 = 156,639 : x
  2. Step 2: Convert to fraction form
    102,950/156,639 = 156,639/x
  3. Step 3: Cross multiply
    102,950x = 156,639 × 156,639
  4. Step 4: Simplify right side
    102,950x = 24,535,776,321
  5. Step 5: Solve for x
    x = 24,535,776,321/102,950
  6. Step 6: Final answer
    x = 238,327.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.